In the equation $y = -4x + 6$, this is in the slope-intercept form $y = mx + b$, where:

• $m$ is the slope.
• $b$ is the y-intercept.

From the equation:

• The slope ($m$) is the coefficient of $x$, which is $-4$.
• The y-intercept ($b$) is the constant term, which is $6$.

Correct answers:

• The slope is $-4$.
• The y-intercept is $6$.

Let me know if you need any more details, or have any questions!

Here are some related questions you might want to explore:

1. How do you derive the equation of a line from two points?
2. What happens to the graph of a line when you change its slope?
3. How can you determine if two lines are parallel or perpendicular based on their slopes?
4. How do you convert a line from slope-intercept form to standard form?
5. What is the significance of the y-intercept in a real-world context?

Tip: Always remember, the slope tells you how steep the line is, while the y-intercept is where the line crosses the y-axis!